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Finding the Fourth Proportional to 285.86, 394.48 and 161.56

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Solution

The fourth proportional to 285.86, 394.48 and 161.56 is: 222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.86 : 394.48 = 161.56 : x
  2. Step 2: Convert to fraction form
    285.86/394.48 = 161.56/x
  3. Step 3: Cross multiply
    285.86x = 394.48 × 161.56
  4. Step 4: Simplify right side
    285.86x = 63,732.19
  5. Step 5: Solve for x
    x = 63,732.19/285.86
  6. Step 6: Final answer
    x = 222.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.